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Finding the Fourth Proportional to 1,502.89, 2,254.26 and 462.85

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Solution

The fourth proportional to 1,502.89, 2,254.26 and 462.85 is: 694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.89 : 2,254.26 = 462.85 : x
  2. Step 2: Convert to fraction form
    1,502.89/2,254.26 = 462.85/x
  3. Step 3: Cross multiply
    1,502.89x = 2,254.26 × 462.85
  4. Step 4: Simplify right side
    1,502.89x = 1,043,384.24
  5. Step 5: Solve for x
    x = 1,043,384.24/1,502.89
  6. Step 6: Final answer
    x = 694.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.